Question

Oliver heated tungsten cylinder weighing 60 g in a hot water bath. While that was heating , he added 40.37 g of distilled water to a styrofoam cup calorimeter and measures its temperature at 21.3 C. Oliver then added the hat tungsten to the calorimeter and observed a final temperature of 24.9 C. What was the initial temperature, in C of tungsten cylinder. Specific heat of tungsten is 0.132 Specific hest of water is 4.184

Answer 1

Answer:

21.12°C

Explanation:

Q = m×c×∆T

Where;

m= mass

c= specific heat capacity

∆T = change in temperature

Qwater = - (Qtungsten)

Note that; the initial temperature of tungsten = final temperature of water

For Water, m= 40.37g, initial temperature=21.3°C, c= 4.184J/g°C

For tungsten, m= 60g, final temperature=24.9°C, c= 0.132J/g°C

(m×c×∆T)water = - (m×c×∆T)tungsten

40.37 × 4.184 × (T-21.3) = - {60 × 0.132 × (24.9-T)}

168.91 (T-21.3) = - { 7.92 (24.9-T)}

168.91T - 3597.8 = - (197.21 - 7.92T)

168.91T - 3597.8 = - 197.21 + 7.92T

168.91T - 7.92T = - 197.21 + 3597.8

160.99T = 3400.59

T = 3400.59/160.99

T = 21.12°C

Therefore, the initial temperature, in °C of tungsten cylinder is 21.12°C